Hose Reel Problem: You unwind a hose by turning the crank on a hose reel mounted to the

Chapter 2, Problem R.1

(choose chapter or problem)

Hose Reel Problem: You unwind a hose by turning the crank on a hose reel mounted to the wall (Figure 2-6a, facing page). As you crank, the distance your hand is above the ground is a periodic function of the angle through which the reel has rotated (Figure 2-6b, solid graph). The distance, y, is measured in feet, and the angle, , is measured in degrees. a. The dashed graph in Figure 2-6b is the pre-image function y = sin . Plot this sine function graph on your grapher. Does the result agree with Figure 2-6b? b. The solid graph in Figure 2-6b is a dilation and translation of y = sin . Figure out what the two transformations are, and write an equation for the function. When you plot the transformed graph on your grapher, does the result agree with Figure 2-6b? c. What is the name for the periodic graphs in Figure 2-6b? Figure 2-6a Figure 2-6b R